Find the equation of the circle which passes through the points (1, 2), (2, 2) and (4, -1)?

Asked by Last Modified  

2 Answers

+2 Mathematics Conic Sections

Follow 0
Answer

Please enter your answer

Sarvajeet Kumar

An Experienced Trainer

square of (x-3/2) + square of (y-3/2) = 1/2.
Comments
Dislike Bookmark

Tutor

Take the general equation for a circle: x^2 + y^2 + 2gx + 2fy + c = 0, where the center is at (-g, -f) and the radius is sq root of (g^2 +f^2 -c). Now use the given points to get three equations to solve for three unknowns, g, f, and c. The equations with point (1, 2) becomes: 1^2 + 2^2 + 2xgx1 + 2xfx2...
read more
Take the general equation for a circle: x^2 + y^2 + 2gx + 2fy + c=0, where the center is at (-g, -f) and the radius is sq root of (g^2 +f^2 -c). Now use the given points to get three equations to solve for three unknowns, g, f, and c. The equations with point (1, 2) becomes: 1^2 + 2^2 + 2xgx1 + 2xfx2 + c=0 => 2g + 4f + c=- 5 .............. (1) Similarly, the equation with the point (2, 2) is: => 4g + 4f + c=- 8 .............. (2) And, the equation with the point (4, -1) is: => 8g - 2f + c=- 17 .............. (3) From (1) - (2) we get: -2g = 3 --> g=-3/2. Using this value of g in (1) we get: 4f + c=- 2 ............ (4) Using this value of g in (3) we get: -2f + c=- 5 ............ (5) From (4) - (5) we can get: 6f=3 --> f=1/2. Using this value of f in (5) we get: c=- 4. So, the equation of the circle is: x^2 + y^2 + 2(-3/2)x + 2(1/2)y + (- 4) = 0. After simplification: --> x^2 + y^2 -3x +y - 4 = 0 (Answer) read less
Comments
Dislike Bookmark

Related Questions

. Electromagnetic radiation when interact with material particle, behaves as __________. (particles, waves, both particles and waves, none of these)
Particles
Narendra Kumar
1 0
7
If the roots of quadratic equation are rational & distinct condition?
a,b,c are rational. Discriminant is perfect square. Discriminant is not equal to zero.If a,b,c are not rational then b/a must be rational and c/a also rational along with discriminant perfect square.
Ravi
Mathematically Electric current I in a conductor is defined by the relation __________. (I = Qt, Q = I/t, I = Q/t, None of these)
dI = dQ/dt
Narendra Kumar
0 0
6
__________ of the following is not a fundamental postulate of Bohr’s theory of hydrogen atom. (The classical theory does not apply in the case of tiny particles such as electrons, The electron in a stable orbitdoes not radiate energy, The electron can move in all possible orbits, An atom radiates energy only when an electron jumps from an allowed orbit of higher energy En to one of the lower energ Ep)
Being nity particle electron has significant wave character according to deBroglie so classical theory can not be applied with electron which considers only particle nature.
Narendra Kumar
0 1
6
A card from a pack of 52 cards is lost. From remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond?
The number of ways to choose 2 diamonds cards if the lost card was a diamond = 12C2/51C2. The number of ways to choose 2 diamonds cards if the lost card was not a diamond = 3* 13C2/51C2. probability...
Kumar Upendra Akshay
1 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Vectors
What is Vector? Scalar quantities are quantities that have only magnitudes such as time, area and distance. Vector quantities are quantities that have both magnitudes and directions such velocity...

Charchit Jain

0 0
0
Cash Flow Statement (CFS)
CASH FLOW STATEMENT Marks: 8 (Eight) As prescribed by the Accounting standard-3 (AS-3), there are two methods which can be used to prepare cash flow statements: Indirect method Direct method...

Anjali Y.

0 0
0
The Golden Rule of Accounting
The Golden Rule of Accounting: Debit The Receiver, Credit The Giver: This principle is used in the case of personal accounts. When a person gives something to the organization, it becomes an...

Kousiki Chakraborty

2 0
0
Class XII - Continuity

Akhil Roy

0 0
0
Adjustments in financial statements or final accounts
ADJUSTMENTS IN FINANCIAL STATEMENTS OR FINAL ACCOUNTS Information given outside the trial balance are known as adjustments. It means journal entry of this adjustment has not been passed yet . treatment...

Aman Goyal

7 0
0

Recommended Articles

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Class 12 Tuition in Gurgaon
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you